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Finding the Fourth Proportional to 326.81, 451.00 and 179.46

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Solution

The fourth proportional to 326.81, 451.00 and 179.46 is: 247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.81 : 451.00 = 179.46 : x
  2. Step 2: Convert to fraction form
    326.81/451.00 = 179.46/x
  3. Step 3: Cross multiply
    326.81x = 451.00 × 179.46
  4. Step 4: Simplify right side
    326.81x = 80,936.01
  5. Step 5: Solve for x
    x = 80,936.01/326.81
  6. Step 6: Final answer
    x = 247.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.